6 papers
On the sphere spectrum from the viewpoint of linear logic
Ryo Horiuchi
In this note, we show the category of -sets with the sphere spectrum, the smash product, and the substitution product gives rise to an isomix linearly distributive category, whi…
Exact detection threshold of the packing test
Tuan Pham
Using Poisson approximation techniques, we derive the detection threshold of the packing test in \cite{Jiang13} when testing spherical uniformity under high-dimensional Fisher--von…
Detecting non-uniform patterns on high-dimensional hyperspheres
Tiefeng Jiang, Tuan Pham
We propose a new probabilistic characterization of the uniform distribution on the hypersphere in terms of the distribution of pairwise inner products, extending the ideas of \cite…
Convergence and Stability Analysis of Self-Consuming Generative Models with Heterogeneous Human Curation
Hongru Zhao, Jinwen Fu, Tuan Pham
Self-consuming generative models have received significant attention over the last few years. In this paper, we study a self-consuming generative model with heterogeneous preferenc…
Asymptotic analysis of high-dimensional uniformity tests under heavy-tailed alternatives
Tiefeng Jiang, Tuan Pham
We study the high-dimensional uniformity testing problem, which involves testing whether the underlying distribution is the uniform distribution, given data points on the -d…
A District-level Ensemble Model to Enhance Dengue Prediction and Control for the Mekong Delta Region of Vietnam
Wala Draidi Areed, Thi Thanh Thao Nguyen, Kien Quoc Do +18
The Mekong Delta Region of Vietnam faces increasing dengue risks driven by urbanization, globalization, and climate change. This study introduces a probabilistic forecasting model…